Задание
Реши уравнение \(\sin\left(-\frac{11\pi}{2} + 4x\right) = \frac{\sqrt{2}}{2}\) и выбери корни из отрезка \(\left[ \frac{5\pi}{2} ; \, \frac{7\pi}{2} \right]\).
(Корни расположи в порядке возрастания.)
Варианты ответов:
\[-\frac{53\pi}{12}\]
\[\frac{23\pi}{32}\]
\[\frac{17\pi}{32}\]
\[\frac{49\pi}{16}\]
\[-\frac{23\pi}{24}\]
\[-\frac{59\pi}{12}\]
\[\frac{41\pi}{16}\]
\[\frac{55\pi}{16}\]
\[\frac{31\pi}{32}\]
\[-\frac{31\pi}{24}\]
\[-\frac{47\pi}{12}\]
\[\frac{47\pi}{16}\]
\[-\frac{33\pi}{24}\]
\[-\frac{41\pi}{12}\]
\[\frac{25\pi}{32}\]
\[-\frac{25\pi}{24}\]